Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
<u><em>Step(ii):-</em></u>
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
They are opposites of each other.
-13.2 + 8.1 = -5.1
13.2 - 8.1 = 5.1
Answer:
16.2p (If lemonade is .75p, if not substitute in the equation below)
Step-by-step explanation:
In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.
I am assuming 75p is meant to be .75p
So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05
We need 16 so: 4.05 x 4 = 16.2
Answer:
x=2
Step-by-step explanation:
3^2x = 81
3^2x = 3^4
Compare powers
2x = 4
x = 2
